Answer: A = 7 unit^2
Explanation:
First let’s cut the shape into 1 square and 1 trapezoid.
After that we can calculate the 2 polygons individually
Find area of square:
A = 2 x 2 = 4
Find area of trapezoid:
A = (2 + 1)2/2 = 3
Find area of the whole shape
The points have to have the coordinate y=4 to be on the y=4 line
only the (1, 4) point matches this, so yes it is a solution, all others not and are therefore no
Solution: (2,8)
Using the elimination method set up the system of equations like:
y = x + 6
y = 3x + 2
Eliminate the x-variable by multiplying the top equation by -3
-3y = -3x -18
y = 3x + 2
Combine terms:
-2y = -16
-y = -8
y = 8
Plug in 8 to one of the first equations for y
8 = 3x + 2
6 = 3x
x = 2
Solution: (2,8)
-2x - 6 < = 1
-2x < = 1 + 6
-2x < = 7...change the inequality sign when dividing by a negative number
x > = -7/2
x > = - 3.5
the one that does not satisfy the inequality is : -4...because it is less then -3.5
The inequality statement shows that both Jose and Sue landed on red or blue squares and hence both lost some points. The points they lost were more than the points they gained, which resulted in an overall score having a negative value for each player.
Jose had a final score of -2 and Sue had a final score of -5. This means, Sue scored less and probably lost more points as compared to Jose. There is a difference of 3 points between the scores of both players.
